About this representation

Group J1
Group generators Standard generators
Number of points 266
Primitivity information Primitive
Transitivity degree 1
Rank 5
Suborbit lengths 1, 11, 12, 110, 132
Character 1+56ab+76a+77a
Point stabiliser L2(11)
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe a b
MeatAxe binary a b
GAP a b
GAP a, b
Magma a, b

On conjugacy classes

Conjugacy class Fixed points Cycle type
1A 266
2A 10 2128
3A 5 387
5A 6 552
5B 6 552
6A 1 22, 33, 642
7A 0 738
10A 0 23, 52, 1025
10B 0 23, 52, 1025
11A 2 1124
15A 0 32, 5, 1517
15B 0 32, 5, 1517
19A 0 1914
19B 0 1914
19C 0 1914

Checks applied

Check Description Date Checked by Result
Presentation Check against the relations in a presentation. If this test passes, then the group is of the correct isomorphism type, and the generators are those stated. Note that the presentation itself is not checked here. Aug 2, 2006 certify.pl version 0.05 Pass
Semi-presentation Check against a semi-presentation. If this fails, then the representation is not on standard generators, and may generate the wrong group. Note that the semi-presentation itself is not checked here. Jul 4, 2006 certify.pl version 0.05 Pass
Order Check that the elements generate a group of the correct order. Jul 18, 2006 permanalyse version 0.03 Pass
Number of points Check whether the permutation representation is acting on the stated number of points. Jul 4, 2006 certify.pl version 0.05 Pass
Files exist Check whether files exist (where stated). Jul 4, 2006 certify.pl version 0.05 Pass